-In this paper, a new scheme using redundant residue number system is proposed for decreasing the total consumption power and thus, increasing the lifetime, and also to reach error controllability to improve reliability of received data and therewith to obtain improvement in end-to-end delay in wireless sensor networks. The proposed scheme employs the new moduli set . Moreover, to complete the new scheme, an efficient reverse converter in both terms of conversion delay and hardware saving is designed and implement based on mixed radix conversion algorithm.Index Terms -Redundant Residue Number System, Reverse Converter, Mixed-Radix-Conversion, Wireless Sensor Networks
I . IntroductionWireless sensor networks technologies with a large number of multifunctional low-power sensor nodes have received tremendous attention because of wide applications in today's world 1 . In such as networks, two critical issues are energy conservation and reliability in data delivery 2 . In this paper, using redundant residue number system in wireless sensor network applications is proposed for solving the said problems.Redundant residue number systems (RRNSs) are appropriate for use in wireless sensor network, because of 3 factors: 1) strong error controllability, 2) low energy consumption, 3) run-time operations.In RRNS, by considering some modulus, instead of sending number , the remainders of are transmitted, so fewer packets are sending and power consumption is reduced. Receiver using a reverse converter decodes the received packets and recovers the original message and then, detects and corrects error, if occurred.The most important part of any RNS design is moduli set selection, because it has direct effect on system's speed, its dynamic range and area utilization of reverse converter. The reverse converter is responsible to convert back the received data from RNS to conventional representation and is the most complex of any residue to number system design.In this paper, the new residue number system moduli set is proposed and an efficient reverse converter is designed and implement base on the new moduli set that is suitable for wireless sensor networks with low power resources.
II. Advantages Of The Proposed SchemeBecause the absence of carry propagation between the arithmetic blocks results in high speed processing, RNS is high speed. This feature is beneficial for wireless sensor networks that need to run-time applications. RNS needs to reduce power. Because of smaller words are transmitted in RNS representation. Thus smaller arithmetic units are realized in the RNS processors that reduce the switching activities in each channel. This results in reduction in the dynamic power, since the dynamic power is directly proportional to switching activities. Therewith, RNS has parallel operations that reduce power consumption and delay simultaneously.Moreover, noted that WSNs have wide applications and maybe deployed in a hostile environment, such as battlefield. In these conditions, error control and secure data aggregation...